On non-abelian T-duality and deformations of supercoset string sigma-models

BORSATO, Riccardo and Linus WULFF. On non-abelian T-duality and deformations of supercoset string sigma-models. Journal of High Energy Physics. New York: SPRINGER, 2017, Neuveden, No 10, p. nestrankovano, 30 pp. ISSN 1029-8479. Available from: https://dx.doi.org/10.1007/JHEP10(2017)024.

Basic information

• Original name: On non-abelian T-duality and deformations of supercoset string sigma-models
• Authors: BORSATO, Riccardo (380 Italy) and Linus WULFF (752 Sweden, guarantor, belonging to the institution).
• Edition: Journal of High Energy Physics, New York, SPRINGER, 2017, 1029-8479.

Other information

• Original language: English
• Type of outcome: Article in a journal
• Field of Study: 10303 Particles and field physics
• Country of publisher: United States of America
• Confidentiality degree: is not subject to a state or trade secret
• Impact factor: Impact factor: 5.541
• RIV identification code: RIV/00216224:14310/17:00100357
• Organization unit: Faculty of Science
• Doi: http://dx.doi.org/10.1007/JHEP10(2017)024
• UT WoS: 000412351500004
• Keywords in English: Integrable Field Theories; String Duality
• Tags: NZ, rivok

Abstract

We elaborate on the class of deformed T-dual (DTD) models obtained by first adding a topological term to the action of a supercoset sigma model and then performing (non-abelian) T-duality on a subalgebra (g) over tilde of the superisometry algebra. These models inherit the classical integrability of the parent one, and they include as special cases the socalled homogeneous Yang-Baxter sigma models as well as their non-abelian T-duals. Many properties of DTD models have simple algebraic interpretations. For example we show that their (non-abelian) T-duals - including certain deformations - are again in the same class, where (g) over tilde gets enlarged or shrinks by adding or removing generators corresponding to the dualised isometries. Moreover, we show that Weyl invariance of these models is equivalent to (g) over tilde being unimodular; when this property is not satisfied one can always remove one generator to obtain a unimodular (g) over tilde, which is equivalent to (formal) T-duality. We also work out the target space super fields and, as a by-product, we prove the conjectured transformation law for Ramond-Ramond (RR) fields under bosonic non-abelian T-duality of supercosets, generalising it to cases involving also fermionic T-dualities.